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Finding the Fourth Proportional to 66,432, 91,676.16 and 36,624

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Solution

The fourth proportional to 66,432, 91,676.16 and 36,624 is: 50,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,432 : 91,676.16 = 36,624 : x
  2. Step 2: Convert to fraction form
    66,432/91,676.16 = 36,624/x
  3. Step 3: Cross multiply
    66,432x = 91,676.16 × 36,624
  4. Step 4: Simplify right side
    66,432x = 3,357,547,683.84
  5. Step 5: Solve for x
    x = 3,357,547,683.84/66,432
  6. Step 6: Final answer
    x = 50,541.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.